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Angle 2=68 degrees

Step-by-step explanation:

Angle 2 and angle 5 are supplementary, so they add to 180. If you add the equations together and put 180 on the other side, you get 4x + 60 = 180. Subtract 60 from both sides, you get 4x = 120. Divide both sides by 4, you get 30. That's not the answer though. You have to substitute that in for x in the equation. You get 30 + 38 = angle 2, so angle 2 = 68 degrees

second option

step-by-step explanation:

the measures of a triangle equal 180. use that to find x.

2x+3x+4x=180

9x=180

9x/9=180/9

x=20

now you know x, you know angle a is 40°, angle b is 60°, angle c is 80°.

because angle a is 40°, the first option doesn't work.

because angle b is 60°, the second option does work.

when you add angle a and b, you get 100°. complementary means it equals 90°, so the third option doesn't work.

when you add angle a and c, you get 120°, which is not 100.